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Computing matrix inversion with optical networks

Computing matrix inversion with optical networks
Computing matrix inversion with optical networks
With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N2), whereas matrix inversion by most advanced computer algorithms requires ~O(N2.37) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment.
1094-4087
295-304
Wu, Kan
2257a2a5-e70b-461d-8ae5-31b98ef572e5
Soci, Cesare
cab44ec8-b119-4f74-bf3b-5b110e57cfed
Shum, Perry Ping
5c669130-28f6-4b50-8568-78e05e2ce87d
Zheludev, Nikolay I.
32fb6af7-97e4-4d11-bca6-805745e40cc6
Wu, Kan
2257a2a5-e70b-461d-8ae5-31b98ef572e5
Soci, Cesare
cab44ec8-b119-4f74-bf3b-5b110e57cfed
Shum, Perry Ping
5c669130-28f6-4b50-8568-78e05e2ce87d
Zheludev, Nikolay I.
32fb6af7-97e4-4d11-bca6-805745e40cc6

Wu, Kan, Soci, Cesare, Shum, Perry Ping and Zheludev, Nikolay I. (2014) Computing matrix inversion with optical networks. Optics Express, 22 (1), 295-304. (doi:10.1364/OE.22.000295).

Record type: Article

Abstract

With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N2), whereas matrix inversion by most advanced computer algorithms requires ~O(N2.37) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment.

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More information

e-pub ahead of print date: 2 January 2014
Published date: 13 January 2014
Additional Information: Funded by Singapore Ministry of Education: Singapore Ministry of Education Academic Research Fund Tier 3 (MOE2011-T3-1-005)
Organisations: Optoelectronics Research Centre

Identifiers

Local EPrints ID: 369144
URI: https://eprints.soton.ac.uk/id/eprint/369144
ISSN: 1094-4087
PURE UUID: 28d04251-e240-4014-bcb0-f3a5cbd967a4
ORCID for Nikolay I. Zheludev: ORCID iD orcid.org/0000-0002-1013-6636

Catalogue record

Date deposited: 18 Sep 2014 13:29
Last modified: 03 Dec 2019 02:03

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Contributors

Author: Kan Wu
Author: Cesare Soci
Author: Perry Ping Shum

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